Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.3.378818692265664781682717625943.1 | x21 - x14 - 2x7 + 1 | \( -\,7^{35} \) | $C_7:(C_3\times D_7)$ (as 21T16) | Trivial (GRH) |
| 21.3.378818692265664781682717625943.2 | x21 - 4x14 + 3x7 + 1 | \( -\,7^{35} \) | $C_7:(C_3\times D_7)$ (as 21T16) | Trivial (GRH) |
| 21.21.19665423796876602841207515435602265497141248.1 | x21 - 7x20 - 84x19 + 553x18 + 2989x17 - 17227x16 - 59164x15 + 268223x14 + 701288x13 - 2160550x12 - 4812654x11 + 8210370x10 + 16233798x9 - 11164454x8 - 15807117x7 + 9478959x6 + 3446688x5 - 2593367x4 + 284319x3 + 17031x2 - 2184x - 43 | \( 2^{18}\cdot 7^{29}\cdot 13^{12} \) | $C_7:(C_3\times D_7)$ (as 21T16) | Trivial (GRH) |
| 21.21.298647619353990167618744853614623738567035977728.1 | x21 - 7x20 - 112x19 + 917x18 + 4501x17 - 49049x16 - 58303x15 + 1363504x14 - 1028629x13 - 20451844x12 + 43800414x11 + 146916245x10 - 561540210x9 - 174494054x8 + 2966333481x7 - 3053607823x6 - 4087297767x5 + 9329430684x4 - 3704545313x3 - 2362982118x2 + 1114112720x + 364464491 | \( 2^{18}\cdot 7^{29}\cdot 29^{12} \) | $C_7:(C_3\times D_7)$ (as 21T16) | Trivial (GRH) |